Several cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height. Tyler bought a wedge. He measured the arc length of the wedge to be 12 cm and the radius to be 8 cm. Priya bought a wedge that came from a circular cheese block with radius 9 cm. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.

Which of the following properties can be used to show

If 2(a^2+b^2)=(a+b)^2 then, > a+b=0, > ab=0, > a=b, > 2a=b

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.